Mixed finite elements for Bingham flow in a pipe

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2022-11-10
Major/Subject
Mcode
Degree programme
Language
en
Pages
819–840
Series
Numerische Mathematik, Volume 152, issue 4
Abstract
We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.
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Citation
Gustafsson , T & Lederer , P 2022 , ' Mixed finite elements for Bingham flow in a pipe ' , Numerische Mathematik , vol. 152 , no. 4 , pp. 819–840 . https://doi.org/10.1007/s00211-022-01332-w